Μ-Pseudo almost periodic solutions for delayed partial functional differential equations in admissible spaces. Issue 4 (12th March 2021)

• Record Type: Journal Article
• Authors: Jendoubi, Chiraz
• Is Part Of: Applicable analysis. Volume 100:Issue 4(2021)
• Page Start: 772
• Page End: 790
• Publication Date: 2021-03-12
• Subjects: Partial functional differential equation -- admissibility of function spaces -- exponential dichotomy -- μ-pseudo almost periodic solution -- completeness -- composition theorem; 34G20 -- 34D09 -- 47D06 -- 34C27; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1620932
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We present a theory of existence and uniqueness of μ -pseudo almost periodic solution for a delayed non-autonomous partial functional differential equation in the exponential dichotomic case, where the nonlinear operator F satisfies the ϕ -Lipschitz condition and ϕ belongs to some admissible spaces. Moreover, we prove the existence of an invariant stable manifold around the μ -pseudo almost periodic solution in that case. We give finally an application to illusrate our results.